In a bowl, add the flour, yeast, salt, oil, and water, and mix, initially with a spatula and then using your hands, until you have a soft and pliable dough that does not stick. Divide the dough into 4 balls, and leave them to rest covered for 30 minutes. Then give each ball a boat shape.
Mix the cheeses with the salt. Sprinkle the cheese mixture onto the dough. Add the sausage, tomatoes, and top off with a tbsp olive oil.
Preheat the oven to 200° C. Grease a large baking dish and place the peinirli on it. Bake for 25-35 minutes depending on how thick your dough is.